Convoluted, my foot. They're living separate like that, and then they start singing about the reasons why corporations are secretly glad that divorce rates are increasing. which is already kinda evil in its own convoluted way. Funny how a kid's cartoon can delve into deeper aspects of society like no other kind of show.
There's this other song Doofenshmirtz sings about how all our relationships with one another and society in general are all based upon lies, big and small: "People say that it's all right They're only trying to be polite But even though they're little and white, they're lies!..."
It's an exaggeration to be sure, but it still makes you think about life a bit.